Write Expressions

lessonbunny.com

Answer Key & Explanations

Write Expressions · Grade 5 · Worksheet 1

1. Write an expression: 13 more than 9 times 11 Answer: (9 × 11) + 13 Solution: Identify the multiplication part: '9 times 11' means 9 × 11. Identify the addition part: '13 more than' means add 13 to the result. Write the expression with parentheses to show multiplication first: (9 × 11) + 13.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '9 times 11' means 9 × 11. Step 2: Identify the addition part: '13 more than' means add 13 to the result. Step 3: Write the expression with parentheses to show multiplication first: (9 × 11) + 13. The expression is (9 × 11) + 13.

2. Write an expression: 16 more than 11 times 21. Answer: (11 × 21) + 16 Solution: Identify the multiplication part: '11 times 21' means 11 × 21. Identify the addition part: '16 more than' means add 16 to the result. Write the expression with parentheses to show multiplication first: (11 × 21) + 16.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '11 times 21' means 11 × 21. Step 2: Identify the addition part: '16 more than' means add 16 to the result. Step 3: Write the expression with parentheses to show multiplication first: (11 × 21) + 16. The expression is (11 × 21) + 16.

3. Emma is making a large batch of lemonade for a school fair. She uses 3.75 liters of lemon juice and 2.5 times that amount of water. How many liters of lemonade does Emma make in total? Answer: 13.125 Solution: Find the amount of water used. Since water is 2.5 times the lemon juice, multiply 3.75 liters by 2.5. 3.75 × 2.5 = 9.375 liters of water Find the total amount of lemonade by adding the lemon juice and water.
   Full step-by-step solution

   Step 1: Find the amount of water used. Since water is 2.5 times the lemon juice, multiply 3.75 liters by 2.5. 3.75 × 2.5 = 9.375 liters of water Step 2: Find the total amount of lemonade by adding the lemon juice and water. 3.75 liters (lemon juice) + 9.375 liters (water) = 13.125 liters The answer is 13.125 liters of lemonade.

4. Tom has 28 stickers. Tom wants to share them equally among 4 friends. Write an expression for how many stickers each friend will get. Answer: 7 Solution: Total stickers: 28. Number of friends: 4. Divide equally: 28 ÷ 4 = 7.
   Full step-by-step solution

   Step 1: Total stickers: 28. Step 2: Number of friends: 4. Step 3: Divide equally: 28 ÷ 4 = 7. Each friend gets 7 stickers.

5. (7.5 × 6) + (81.6 ÷ 8) = ? Answer: 55.2 Solution: Calculate the multiplication inside the first parentheses: 7.5 × 6 = 45 Calculate the division inside the second parentheses: 81.6 ÷ 8 = 10.2 Add the results from Step 1 and Step 2: 45 + 10.2 = 55.2 The answer is 55.2.
   Full step-by-step solution

   Step 1: Calculate the multiplication inside the first parentheses: 7.5 × 6 = 45 Step 2: Calculate the division inside the second parentheses: 81.6 ÷ 8 = 10.2 Step 3: Add the results from Step 1 and Step 2: 45 + 10.2 = 55.2 The answer is 55.2.

6. (12.5 × 8) + (156.8 ÷ 7) = ? Answer: 122.4 Solution: Calculate the multiplication inside the first parentheses: 12.5 × 8 = 100.0 Calculate the division inside the second parentheses: 156.8 ÷ 7 = 22.4 Add the results from Step 1 and Step 2: 100.0 + 22.4 = 122.4 The answer is 122.4.
   Full step-by-step solution

   Step 1: Calculate the multiplication inside the first parentheses: 12.5 × 8 = 100.0 Step 2: Calculate the division inside the second parentheses: 156.8 ÷ 7 = 22.4 Step 3: Add the results from Step 1 and Step 2: 100.0 + 22.4 = 122.4 The answer is 122.4.

7. Write an expression: 9 more than 7 times 13. Answer: (7 × 13) + 9 Solution: Identify the multiplication part: '7 times 13' means 7 × 13. Identify the addition part: '9 more than' means add 9 to the result. Write the expression with parentheses to show multiplication first: (7 × 13) + 9.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '7 times 13' means 7 × 13. Step 2: Identify the addition part: '9 more than' means add 9 to the result. Step 3: Write the expression with parentheses to show multiplication first: (7 × 13) + 9. The expression is (7 × 13) + 9.

8. Emma is baking cookies for a school fundraiser. She needs to make 3.5 batches of her chocolate chip cookie recipe. Each batch requires 2.25 cups of flour. How many cups of flour does Emma need in total? Answer: 7.875 Solution: Identify what we're looking for - total cups of flour needed Emma needs 3.5 batches Each batch requires 2.25 cups of flour Multiply batches by cups per batch: 3.5 × 2.25 Calculate 3.5 × 2.25: 3.5 × 2 = 7.0 3.5 × 0.25 = 0.875 Add them together: 7.0 + 0.875 = 7.875 Emma needs 7.875 cups of flour…
   Full step-by-step solution

   Step 1: Identify what we're looking for - total cups of flour needed Step 2: Emma needs 3.5 batches Step 3: Each batch requires 2.25 cups of flour Step 4: Multiply batches by cups per batch: 3.5 × 2.25 Step 5: Calculate 3.5 × 2.25: 3.5 × 2 = 7.0 3.5 × 0.25 = 0.875 Add them together: 7.0 + 0.875 = 7.875 Step 6: Emma needs 7.875 cups of flour total.

9. Emma is making a fruit salad for a party. She uses 2.75 cups of strawberries, 1.5 cups of blueberries, and 3.25 cups of grapes. How many cups of fruit does Emma use in total for her fruit salad? Answer: 7.5 Solution: Identify all the amounts of fruit: 2.75 cups of strawberries, 1.5 cups of blueberries, and 3.25 cups of grapes.
   Full step-by-step solution

   Step 1: Identify all the amounts of fruit: 2.75 cups of strawberries, 1.5 cups of blueberries, and 3.25 cups of grapes. Step 2: Add the amounts together: 2.75 + 1.5 + 3.25 Step 3: First add 2.75 and 1.5: 2.75 + 1.5 = 4.25 Step 4: Then add 4.25 and 3.25: 4.25 + 3.25 = 7.5 Step 5: The total amount of fruit is 7.5 cups.